Errors in Image Intensity

Errors in Line Estimation

Errors in Movement

Erroneous Shape Estimation


Books on Illusions

S. Coren and J. S. Girgus. Seeing is Deceiving: The Psychology of Visual Illusions. Lawrence Erlbaum Associates, Hillsdale, New Jersey, 1978.

J. O. Robinson. The Psychology of Visual Illusion. Hutchinson, London, 1972.

Theories of Geometric Optical Illusions

L. Ganz. Mechanism of the F.A.E.'s. Psychol. Rev., 73:128-150, 1966.

R. L. Gregory. Distortion of visual space as inappropriate constancy scaling. Nature, 119:678, 1963.

W. Köhler and H. Wallach. Figural after-effects: An investigation of visual processes. Proc. Amer. Philos. Soc., 88:269-357, 1944.

R. Tausch. Optische Täuschungen als artifizielle Effekte der Gestaltungsprozesse von Größen und Formkonstanz in der natürlichen Raumwahrnehmung. Psychol. Forsch., 24:299-348, 1954.

Theories of Illusions Involving Eye Movements

H. A. Carr. An Introduction to Space Perception. Longmans, Green, New York, 1935.

J. Piaget. Les Mechanismes Perceptifs. Presses Universitaires de Gravee, 1961. Translated by G. N. Seagrim as The Mechanisms of Perception, Routledge & Kegan Paul, London, 1969.

V. Virsu. Tendencies to eye movement, and misperception of curvature, direction and length. Percept. Psychophys., 9:65-72, 1971.

H. L. F. von Helmholtz. Treatise on Physiological Optics, volume III. Dover, New York, 1962. Translated from the Third German Edition by J. P. C. Southall.

Studies on Geometric Optical Illusions Referring to Image Blurring

A. Bulatov, A. Bertulis, and L. Mickiene. Geometrical illusions: Study and modelling. Biological Cybernetics, 77:395-406, 1997.

C. Chiang. A new theory to explain geometrical illusions produced by crossing lines. Percept. Psychophys., 3:174-176, 1968.

D. C. Earle and S. Maskell. Fraser cords and reversal of the café wall illusion. Perception, 22:383-390, 1993.

A. P. Ginsburg. Is the illusory triangle physical or imaginary? Nature, 257:219-220, 1975.

A. P. Ginsburg. Visual form perception based on biological filtering. In L. Spillman and B. R. Wooton, editors, Sensory Experience, Adaptation and Perception, pages 53-72. L. Erlbaum, New Jersey, 1984.

L. Glass. Effect of blurring on perception of a simple geometric pattern. Nature, 228:1341-1342, 1970.

M. J. Morgan and B. Moulden. The Münsterberg figure and twisted cords. Vision Research, 26(11):1793-1800, 1986.

M. J. Morgan and C. Casco. Spatial filtering and spatial primitives in early vision: An explanation of the Zöllner-Judd class of geometrical illusions. Proc. Royal Society, London B, 242:1-10, 1990.

Related Studies in Perception

P. Cavanagh and S. Anstis. The boogie-woogie illusion. perception, 2002:1005-1011, 2002.
L. Maffei and F. W. Campbell. Neurophysiological localization of the horizontal and vertical components in man. Science, 167:386-387, 1970.

K. Nakayama and G.H.. Silverman. The aperture problem - I. Perception of nonrigidity and motion direction in translating sinusoidal lines. Vision Research, 28, 739-746, 1988.

J.F. Normann, J.M. Todd, and F. Phillips. The perception of surface orientation from multiple sources of optical information. Perception & Psychophysics, 57, 629-636, 1995.

J.M. Todd, V.J. Perotti, J.S. Lappin, and F. Phillips. The perception of surface curvature from optical information. Perception & Psychophysics, 60, 377-388, 1998.

H. Wallach. Über visuell wahrgenommene Bewegungsrichtung. Psychologische Forschung, 20, 325-380, 1935.

Papers on the Proposed Theory

Cornelia Fermüller and H. Malm. Uncertainty in visual Processes predicts Geometric Optical Illusions. Vision Research in press. preprint

C. Fermüller, R. Pless, and Y. Aloimonos. The Ouchi illusion as an artifact of biased flow estimation. Vision Research, 40:77-96, 2000. PostScript-file

C. Fermüller, D. Shulman, and Y. Aloimonos. The statistics of optical flow. Computer Vision and Image Understanding, 82:1-32, 2001. PDF-file

Ji Hui and Cornelia Fermüller. Uncertainty in 3D Shape Estimation. 3rd Int. Workshop on Statistical and Computational Theories of Vision, 2003 PDF-file